PRECALCULUS WITH INTERNET-BASED PARALLEL REVIEW
|
|
- Debra Casey
- 8 years ago
- Views:
Transcription
1 PRECALCULUS WITH INTERNET-BASED PARALLEL REVIEW Rafael MARTÍNEZ-PLANELL Daniel MCGEE Deborah MOORE Keith WAYLAND Yuri ROJAS University of Puerto Rico at Mayagüez PO Box 9018, Mayagüez, PR ABSTRACT An innovative precalculus course with an integrated Internet-based component will be described 1. The course: (1) has an Internet-based just in time review component, (2) has Internet based weekly tutorials, practice, and testing, (3) is designed for science and engineering students, (4) integrates the study of functions of two variables f(x,y) and other basic three dimensional ideas, and (5) incorporates the use of symbolic algebra systems and other innovative pedagogy. The study of multivariable functions is traditionally postponed until multivariable calculus. However, with the aid of a set of low cost manipulatives that we have developed to aid in the visualization of three dimensions, multivariable topics are being effectively incorporated into the precalculus curriculum. The goal is to build an early geometric intuition in three dimensions in students. This goal directly addresses a common concern voiced by our colleagues in engineering departments. The Internet component of the project allows the establishment of a weekly practice, tutorial, and quiz system that helps students review the pre-requisites for upcoming material and review the material just covered in class. This component consists of a large and highly organized data bank of questions, a set of accompanying tutorials, and the software necessary for generating and administering quizzes on-line. The Internet component is being designed to facilitate its implementation in a wide variety of institutions. Interested faculty will be able to easily edit, contribute to, and adjust the data bank of questions to suit their needs. 1 This project is partially funded by the Fund for the Improvement of Post-secondary Education (FIPSE) of the U.S. Department of Education with grant number P116A002007
2 1. Introduction This article addresses the precalculus course typically taught in many universities in the United States. The course is essentially an introduction to the function concept and a study of the main properties of polynomial, rational, exponential, logarithmic, and trigonometric functions. It usually also includes an introduction to vectors, matrices and linear systems, as well as several other elementary topics. Students who plan to follow careers in science or engineering and who do not have an adequate preparation in pre-college mathematics will take this course in their first year of university studies prior to enrolling in the calculus sequence. The traditional precalculus course starts with a review of pre-college mathematics including properties of real numbers, algebraic expressions, solving equations, the Cartesian coordinate system, and lines. For an underprepared student, this introductory review attempts to teach in a very short time everything that the student did not learn in two or three years of pre-college mathematics. It is not surprising that it frequently fails to do so. Another problem with the traditional course is that it tries to cover too much material leaving little time for experimentation, collaborative learning activities, and other innovative pedagogies. Time constraints will frequently force professors, even those who would prefer alternative more student-centered approaches, to lecture a substantial amount of the time. In the past few years there have been several prominent attempts to redesign the course: by giving it a more modelling oriented approach, by incorporating graphing and sometimes symbolic computation, and by placing more emphasis on numeric and geometric representations while building connections with the traditional algebraic approach. Some of these course restructurings managed to introduce innovative elements into the course essentially by de-emphasizing algebraic computation skills. For students majoring in some fields this is a perfectly reasonable thing to do as one may argue that calculator and computer technology can be used for many of the routine calculations that students need to do in the course. But some students, particularly those planning to follow careers in engineering, do need a substantial amount of algebraic manipulation skills. Engineering and some professional licensing programs require these skills. The problem is how to restructure the precalculus course so that alternative pedagogical approaches can be incorporated into the course, and so that incoming students with a weak mathematics background can succeed in the course while still developing a substantial amount of algebraic manipulation skills. This is an important problem in universities where many of the science and engineering students start at the level of precalculus and universities wishing to open the doors to engineering careers to students with weaker mathematics backgrounds. The course described below addresses the above problem by taking most of the basic algebraic computation skills out of the classroom but not out of the course. This frees enough class time for innovations without compromising algebraic computation skills. Basic skills are reviewed in parallel to the course using an Internet-based system of weekly quizzes. 2. Internet-based Component Every week the precalculus students take a quiz, which is available via the Internet. Most of the questions have randomly generated parameters so the students may practice taking the quiz as much as they want prior to the real quiz taken for a grade. In fact, they must attain a professordefined expertise level before the system allows them to take the weekly quiz for a grade. In the practice quizzes, the system tells the students which problems he/she answered incorrectly and allows the student to link to the appropriate web-based tutorial (see Figure 1).
3 Weekly quizzes have two parts (see Figure 2): a Review Topic Section consisting of the prerequisite material needed for the next week of classes and a Precalculus Topic Section consisting of the course material covered in the previous week of classes. The Review Topic Section of the quizzes allows distributing the review of basic material throughout the entire course, covering what is needed for the course just at the time it will be used in the course. This is in contrast to the common practice of attempting to do all the reviewing of prerequisites in a block of time at the beginning of the course. With the weekly quiz system, reviewing is done as needed throughout the course via the Internet and, more importantly, without taking any class time. The Precalculus Topic Section of the quizzes is meant to help students keep up to date with the course material. Each week, every student in the precalculus program enters the principal page for the given week via the Internet (quiz.uprm.edu). They may enter this page from any computer laboratory in the university or from their home. This can make it possible for a department of mathematics to support the intensive use of computer resources from a large quantity of students without placing too much of a burden on already existing departmental resources. It also allows a more efficient use of computing resources campus wide. From there, they may enter either the Review Topic section or the Precalculus Topic section. Upon entering the Review Topic section, the review topics necessary for the following week's precalculus topics will be outlined with links to pertinent tutorials. Should they wish to review these materials, they may proceed to the online tutorials. If they feel that they already understand these review topics, they may proceed to a practice quiz which will evaluate how well they comprehend these topics. Upon submitting their answers for the practice quiz, the computer generates a report indicating which topics they did well on and which topics require further review. This report includes links to pertinent tutorials. When the practice quiz indicates a sufficient degree of understanding (exactly what is "sufficient" is at the discretion of each instructor), the student is cleared to take a real quiz which counts toward their final grade. In our case, the real quiz may only be taken in the Testing Annex to the Mathematics Tutoring Laboratory where their identity is verified. Also, in our case the weekly quizzes count for 15% of the grade. Of course, anyone adopting the system will choose to give whatever credit they deem reasonable. The three major components of the Internet component are: (i) the highly organized databases of questions that may be used both for quizzes and practice; (ii) the tutorials of review material to which students are referred, and (iii) the software used to administer the quizzes and refer the students to appropriate tutorials. These components have been class-tested for one year and are presently at different stages of development. In order to make the quiz system useful to a wide range of precalculus professors each having their own idea of how to teach and what to teach in the course, large and comprehensive databases of questions are being developed to cover the topics normally taught in the precalculus course per se, and the review topics needed to understand the course. The guiding principles in their development are: Professors will be able to edit the databases, adding or removing questions as they wish. Professors may contribute to a central data bank. This will be available to any educational institution and will be maintained by the project directors. Databases will exist for each topic of precalculus. The organization will be Topic_Focus_Degree-of-Difficulty. For example, Lines_geom_easy will be a database which will contain questions concerning lines which have a geometric focus and are easy.
4 Databases of questions which require an extensive written response will be created; however, these will not be graded by the system. Student responses will be forwarded to a professor's chosen address. If professors do not want to use these questions, they need not include them. Other than the open response questions, multiple-choice questions are also available on the quizzes. While this presents somewhat of a limitation, it is perfectly adequate for most of the topics dealing with basic algebra skills. Databases of questions which require that the students have graphing and/or computer algebra system technology available will be available for each topic. Once again, if professors do not want to use these questions, they need not include them. As an example, for an introduction to linear functions we would end up with perhaps 12 databases each of which would contain 100 questions. The titles of these databases might be Lines_algebraic_easy, Lines_algebraic_int, Lines_algebraic_hard, Lines_geom_easy, etc. Professors may then use the quiz generating software described below to indicate how many questions from each of these databases should be placed in their quizzes. The software works in the following manner: (1) professors fill out an electronic form indicating the content of the quiz; (2) students receive a practice quiz which has been randomly generated from databases of questions and which is unique to each student; (3) students complete the quiz and submit their responses; then (4) the computer corrects the quiz and generates a report for the student which contains (i) percentage score (ii) electronic links and/or references to the text where they may review topics that they did not pass, and (iii) the questions which were incorrectly answered. If they pass the quiz with a grade predetermined by the professor, they are cleared to take a real quiz that is administered in the Testing Annex to the Mathematics Tutoring Laboratory or any other specially designated place. In the quiz system, after students take practice quizzes, they are directed to a tutorial. This will generally be in the form of an Internet link. However, as always the system allows professors to substitute any other link or reference of their choosing. 3. The Text A textbook has been written and was pilot tested during the past academic year. Pilot testing will continue for two more years before commercial publication. The book offers a mix of traditional and what might be referred to as reform elements. Perhaps this is the major strength of the textbook. It bridges two visions of what a precalculus textbook should be. Topics are presented using simple common sense examples to build on the intuition of students. Multiple representations and the corresponding interconnections are explored throughout the book. The presentation is informal in style. Each section starts with a note on the prerequisite topics that students should review using the Internet-based quiz system. Practice problems are embedded in the topics and examples being presented so that students will have the opportunity to test their understanding while reading the main text. Science and Engineering oriented examples and problems are found throughout the book. To get a clear idea of the nature of the textbook one would need to examine the presentation in more detail than is reasonable to include in a short article. The content and order of the textbook is quite traditional except in the part of the book where a group of topics is presented in a three-dimensional setting.
5 4. Introduction to Three Dimensions in Precalculus The need for geometric visualization of three dimensions is very pronounced in engineering. All engineering majors must take graphics, physics, and statics courses immediately following or concurrently with precalculus where the material frequently occurs in three dimensions. However the formal presentation of three dimensions does not occur until the third semester of the calculus sequence. The primary impediment to presenting three dimensions earlier in the students academic program is that it requires that they think abstractly. The traditional presentation typically does not include means of concretely visualizing coordinates in three dimensions. Hence, when students contemplate lengths of vectors, slopes of lines, and other simple topics in three dimensions, they cannot actually see the vector or the line with which they are working. Our pilot testing experience shows that students are comfortable with concepts in three dimensions when points, lines, vectors, and curves can be represented with concrete objects in three dimensions. To do this a set of manipulatives, resembling something like a Lego for three dimensional explorations in precalculus, was developed. We call this tool, the 3-D Kit. The most fundamental element in the 3-D Kit is a suitcase, which opens to form three dimensions. A rough sketch is provided in Figure 3. The pole, which forms the z-axis, fits inside of the suitcase and when the suitcase is opened, there is a hole within which it can be placed to form threedimensional axes. The exterior part of the suitcase which forms the x and y axes are covered with an erasable board which allows the user to write on the xy plane. There is also an attachment which provides raised x and y axes as shown in Figure 4. Also within the suitcase are multicolored balls, which serve as points; antennas, which serve as vectors; foam covered strips of wire which serve as curves and as contours; and the necessary props to sustain points, vectors, and curves in place. By incorporating three dimensions into the precalculus program, engineering students are being prepared for topics they will shortly need in other science and engineering courses. However, this approach also strongly reinforces two-dimensional concepts presented earlier in the course. For example, the concept of a rate of change, or slope is presented early in the course in a twodimensional setting. The concept is presented again in three dimensions when dealing with the slope of a plane in the x direction and in the y direction. This provides multiple situations and visualizations to reinforce the basic concept of a slope. All of the presentations in three dimensions support parallel themes in two dimensions. Hence, presentations in three dimensions serve both to expose students to three dimensions which is important for engineering students and to reinforce the basic concepts of precalculus as learned in two dimensions. The textbook includes an introduction to the Cartesian three-dimensional space, vectors in three dimensions, functions of two variables, linear functions of two variables and planes. Some of these ideas are useful later in the course when treating linear systems of equations in three variables, and in the presentation of conic sections.
6 Figure 1 Figure 2 Figure 3 Figure 4
COURSE SYLLABUS Pre-Calculus A/B Last Modified: April 2015
COURSE SYLLABUS Pre-Calculus A/B Last Modified: April 2015 Course Description: In this year-long Pre-Calculus course, students will cover topics over a two semester period (as designated by A and B sections).
More informationPHILOSOPHY OF THE MATHEMATICS DEPARTMENT
PHILOSOPHY OF THE MATHEMATICS DEPARTMENT The Lemont High School Mathematics Department believes that students should develop the following characteristics: Understanding of concepts and procedures Building
More informationStephanie A. Mungle TEACHING PHILOSOPHY STATEMENT
Stephanie A. Mungle TEACHING PHILOSOPHY STATEMENT I am a self-directed, enthusiastic college mathematics educator with a strong commitment to student learning and excellence in teaching. I bring my passion
More informationDiablo Valley College Catalog 2014-2015
Mathematics MATH Michael Norris, Interim Dean Math and Computer Science Division Math Building, Room 267 Possible career opportunities Mathematicians work in a variety of fields, among them statistics,
More informationHigh School Mathematics Program. High School Math Sequences
or High School Mathematics Program High School Math Sequences 9 th Grade 10 th Grade 11 th Grade 12 th Grade *Algebra I Pre- Calculus Personal Finance 9 th Grade 10 th Grade 11 th Grade 12 th Grade Calculus
More informationHARRISBURG AREA COMMUNITY COLLEGE VIRTUAL CAMPUS. COURSE: Math 119 Online ---- Pre-calculus Spring 2015 CRN: 34269
HARRISBURG AREA COMMUNITY COLLEGE VIRTUAL CAMPUS COURSE: Math 119 Online ---- Pre-calculus Spring 2015 CRN: 34269 INSTRUCTOR: Ricki Alexander Office: York Leader 108B Phone: 717-801-3303 Email: rlalexan@hacc.edu
More informationMath 1280/1300, Pre-Calculus
Math 1280/1300, Pre-Calculus Instructor: Office: Office Hours: Phone: E-mail: MyMathLab Course Code: Text and Materials: ISBN: 1269594060 Author: Blitzer Title: Precalculus, Books a la Carte Edition Package
More informationCENTRAL COLLEGE Department of Mathematics COURSE SYLLABUS
CENTRAL COLLEGE Department of Mathematics COURSE SYLLABUS MATH 1314: College Algebra Fall 2010 / Tues-Thurs 7:30-9:00 pm / Gay Hall Rm 151 / CRN: 47664 INSTRUCTOR: CONFERENCE TIMES: CONTACT INFORMATION:
More informationMATHEMATICS Department Chair: Michael Cordova - mccordova@dcsdk12.org
MATHEMATICS Department Chair: Michael Cordova - mccordova@dcsdk12.org Course Offerings Grade 9 Algebra I Algebra II/Trig Honors Geometry Honors Geometry Grade 10 Integrated Math II (2014-2015 only) Algebra
More informationPCHS ALGEBRA PLACEMENT TEST
MATHEMATICS Students must pass all math courses with a C or better to advance to the next math level. Only classes passed with a C or better will count towards meeting college entrance requirements. If
More informationAPPLICATION FOR PART-TIME EMPLOYMENT AS A TUTOR TUTOR IN THE DOLCIANI MATHEMATICS LEARNING CENTER
APPLICATION FOR PART-TIME EMPLOYMENT AS A TUTOR TUTOR IN THE DOLCIANI MATHEMATICS LEARNING CENTER Dear Applicant, As you consider applying for a position in the Dolciani Mathematics Learning Center, there
More informationPrecalculus Orientation and FAQ
Precalculus Orientation and FAQ MATH 1011 (Precalculus) is a four hour 3 credit course that prepares a student for Calculus. Topics covered include linear, quadratic, polynomial, rational, exponential,
More informationMathematics. Mathematics MATHEMATICS. 298 2015-16 Sacramento City College Catalog. Degree: A.S. Mathematics AS-T Mathematics for Transfer
MATH Degree: A.S. AS-T for Transfer Division of /Statistics & Engineering Anne E. Licciardi, Dean South Gym 220 916-558-2202 Associate in Science Degree Program Information The mathematics program provides
More informationMathematics (MAT) MAT 061 Basic Euclidean Geometry 3 Hours. MAT 051 Pre-Algebra 4 Hours
MAT 051 Pre-Algebra Mathematics (MAT) MAT 051 is designed as a review of the basic operations of arithmetic and an introduction to algebra. The student must earn a grade of C or in order to enroll in MAT
More informationSpringfield Technical Community College School of Mathematics, Sciences & Engineering Transfer
Springfield Technical Community College School of Mathematics, Sciences & Engineering Transfer Department: Mathematics Course Title: Algebra 2 Course Number: MAT-097 Semester: Fall 2015 Credits: 3 Non-Graduation
More informationReal-World Engineering Problem-Solving in the High School Curriculum. Fary Sami Harford Community College, MD AMATYC 2013-S134
Real-World Engineering Problem-Solving in the High School Curriculum Fary Sami Harford Community College, MD AMATYC 2013-S134 Research Experiences for Teachers: Connecting with Community Colleges Research
More informationHow To Learn Math At A Junior High
MATH DEPARTMENT COURSE DESCRIPTIONS The Mathematics Department provides a challenging curriculum that strives to meet the needs of a diverse student body by: Helping the student realize that the analytical
More informationSEMESTER PLANS FOR MATH COURSES, FOR MAJORS OUTSIDE MATH.
SEMESTER PLANS FOR MATH COURSES, FOR MAJORS OUTSIDE MATH. CONTENTS: AP calculus credit and Math Placement levels. List of semester math courses. Student pathways through the semester math courses Transition
More informationMATH. ALGEBRA I HONORS 9 th Grade 12003200 ALGEBRA I HONORS
* Students who scored a Level 3 or above on the Florida Assessment Test Math Florida Standards (FSA-MAFS) are strongly encouraged to make Advanced Placement and/or dual enrollment courses their first choices
More informationMATHEMATICAL SCIENCES, BACHELOR OF SCIENCE (B.S.) WITH A CONCENTRATION IN APPLIED MATHEMATICS
VCU MATHEMATICAL SCIENCES, BACHELOR OF SCIENCE (B.S.) WITH A CONCENTRATION IN APPLIED MATHEMATICS The curriculum in mathematical sciences promotes understanding of the mathematical sciences and their structures,
More informationSchool of Mathematics, Computer Science and Engineering. Mathematics* Associate in Arts Degree COURSES, PROGRAMS AND MAJORS
Mathematics School of Mathematics, Computer Science and Engineering Dean: Lianna Zhao, MD Academic Chair: Miriam Castroconde Faculty: Miriam Castroconde; Terry Cheng; Howard Dachslager, PhD; Ilknur Erbas
More informationMyMathLab Effectiveness in College Algebra
Systems Management. Currently, he teaches Radio and Television production courses at Henderson State University and completed an M.F.A. in Digital Filmmaking from the University of Central Arkansas in
More informationPrerequisites: TSI Math Complete and high school Algebra II and geometry or MATH 0303.
Course Syllabus Math 1314 College Algebra Revision Date: 8-21-15 Catalog Description: In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems
More informationCOURSE SYLLABUS. TEXTS *The official list of textbooks and materials for this course are found on Inside NC.
COURSE SYLLABUS COURSE IDENTIFICATION Course Prefix/Number MATH-110 Course Title College Algebra with Review Division Applied Science Division Program Mathematics Credit Hours 5 Initiation/Revised Date
More informationMath 1324.50 (Mathematics for Business and Social Sciences I),19480, MW 11:10 12:35, Room 117, AEC
CISCO COLLEGE FALL 2015Semester Math 1324.50 (Mathematics for Business and Social Sciences I),19480, MW 11:10 12:35, Room 117, AEC INSTRUCTOR: J. C. McDANIEL J.C. McDaniel is a 1970 and 1971 graduate of
More informationSAN DIEGO COMMUNITY COLLEGE DISTRICT CITY COLLEGE ASSOCIATE DEGREE COURSE OUTLINE
MATH 098 CIC Approval: BOT APPROVAL: STATE APPROVAL: EFFECTIVE TERM: SAN DIEGO COMMUNITY COLLEGE DISTRICT CITY COLLEGE ASSOCIATE DEGREE COURSE OUTLINE SECTION I SUBJECT AREA AND COURSE NUMBER: Mathematics
More informationMATH 0312-61378: Intermediate Algebra
Topics include quadratics, polynomial, rational, logarithmic, and exponential functions; systems of equations; matrices; and determinants. A departmental final examination will be given in this COURSE
More informationIntroduction. Mathematics 41P Precalculus: First Semester
Precalculus: First Semester Precalculus is the course that bridges the gap between Algebra 2 and Calculus. A thorough understanding of algebra and trigonometry is essential to success in Calculus and other
More informationSOUTHWEST COLLEGE Department of Mathematics
SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 1314: College Algebra INSTRUCTOR: E-MAIL: Fatemeh Salehibakhsh f.salehibakhsh@hccs.edu Office Hours M - W 2:30 3:00 PM Friday 11:00 AM 2:00
More informationMATHEMATICS. Administered by the Department of Mathematical and Computing Sciences within the College of Arts and Sciences. Degree Requirements
MATHEMATICS Administered by the Department of Mathematical and Computing Sciences within the College of Arts and Sciences. Paul Feit, PhD Dr. Paul Feit is Professor of Mathematics and Coordinator for Mathematics.
More informationCOURSE OUTLINE. Course Title Applied College Algebra
COURSE OUTLINE Course Number MAT140 Course Title Applied College Algebra Credits 4 Hours: lecture/lab/other 4 lecture Catalog description: Co- or Pre-requisite Completion of MAT037 with a C or better or
More informationII. Office Hours* (sign up at least 24 hours in advance in binder at student desk in office) Monday
Lansing Community College TEC Pre-Calculus Official Course Syllabus Effective Fall 2013 I. Course Code Title: Room 1st Hour: HTEC 064 005 TEC Pre-Calculus A MB 203 II. Office Hours* (sign up at least 24
More information5 Systems of Equations
Systems of Equations Concepts: Solutions to Systems of Equations-Graphically and Algebraically Solving Systems - Substitution Method Solving Systems - Elimination Method Using -Dimensional Graphs to Approximate
More informationPlease start the slide show from the beginning to use links. Click here for active links to various courses
Please start the slide show from the beginning to use links Click here for active links to various courses CLICK ON ANY COURSE BELOW TO SEE DESCRIPTION AND PREREQUISITES To see the course sequence chart
More informationMathematics INDIVIDUAL PROGRAM INFORMATION 2014 2015. 866.Macomb1 (866.622.6621) www.macomb.edu
Mathematics INDIVIDUAL PROGRAM INFORMATION 2014 2015 866.Macomb1 (866.622.6621) www.macomb.edu Mathematics PROGRAM OPTIONS CREDENTIAL TITLE CREDIT HOURS REQUIRED NOTES Associate of Arts Mathematics 62
More informationMathematics Courses. (All Math courses not used to fulfill core requirements count as academic electives.)
(All Math courses not used to fulfill core requirements count as academic electives.) Course Number Course Name Grade Level Course Description Prerequisites Who Signs for Course 27.04810 GSE Foundations
More informationHARRISBURG AREA COMMUNITY COLLEGE VIRTUAL CAMPUS. COURSE: Math 119 Online ---- Pre-calculus Summer 2015 CRN: 4146
HARRISBURG AREA COMMUNITY COLLEGE VIRTUAL CAMPUS COURSE: Math 119 Online ---- Pre-calculus Summer 2015 CRN: 4146 INSTRUCTOR: Ricki Alexander Office: York Leader 108B Phone: 717-801-3303 Email: rlalexan@hacc.edu
More informationAlgebra I Credit Recovery
Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,
More informationMATH 1314 College Algebra Departmental Syllabus
MATH 1314 College Algebra Departmental Syllabus Spring 2014 Catalog Description MATH 1314. College Algebra (3-3-0) This course is an in-depth study and application of polynomial, rational, radical, exponential
More informationKEAN UNIVERSITY Maxine and Jack Lane Center for Academic Success Phone: (908) 737-0340 Website: http://placementtest.kean.edu
KEAN UNIVERSITY Maxine and Jack Lane Center for Academic Success Phone: (908) 737-0340 Website: http://placementtest.kean.edu Understanding Your Test Results/Course Placements Individualized Initial Course
More informationPre-Calculus Semester 1 Course Syllabus
Pre-Calculus Semester 1 Course Syllabus The Plano ISD eschool Mission is to create a borderless classroom based on a positive student-teacher relationship that fosters independent, innovative critical
More informationANGELO STATE UNIVERSITY/GLEN ROSE HIGH SCHOOL DUAL CREDIT ALGEBRA II AND COLLEGE ALGEBRA/MATH 1302 2015-2016
ANGELO STATE UNIVERSITY/GLEN ROSE HIGH SCHOOL DUAL CREDIT ALGEBRA II AND COLLEGE ALGEBRA/MATH 1302 2015-2016 I. INSTRUCTOR MRS. JAMI LOVELADY Office: 504 Tutorial Hours: Mornings Monday through Friday
More informationMATH 1050, College Algebra, QL, 4 credits. Functions: graphs, transformations, combinations and
MATH 1050 Syllabus MATH 1050, College Algebra, QL, 4 credits. Functions: graphs, transformations, combinations and inverses. Polynomial, rational, exponential, logarithmic functions and applications. Systems
More informationA GENERAL CURRICULUM IN MATHEMATICS FOR COLLEGES W. L. DUREN, JR., Chairmnan, CUPM 1. A report to the Association. The Committee on the Undergraduate
A GENERAL CURRICULUM IN MATHEMATICS FOR COLLEGES W. L. DUREN, JR., Chairmnan, CUPM 1. A report to the Association. The Committee on the Undergraduate Program in Mathematics (CUPM) hereby presents to the
More informationAlgebra Unpacked Content For the new Common Core standards that will be effective in all North Carolina schools in the 2012-13 school year.
This document is designed to help North Carolina educators teach the Common Core (Standard Course of Study). NCDPI staff are continually updating and improving these tools to better serve teachers. Algebra
More informationMath 1314 College Algebra Course Syllabus
Math 1314 College Algebra Course Syllabus Instructor: Mahmoud Basharat; E-mail: Please use email within Eagle-Online Alternating email: basharatah@hotmail.com or mahmoud.basharat@hccs.edu. (Please use
More informationNEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS
NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS TEST DESIGN AND FRAMEWORK September 2014 Authorized for Distribution by the New York State Education Department This test design and framework document
More informationSOUTHWEST COLLEGE Department of Mathematics
SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 0312: Intermediate Algebra - Online INSTRUCTOR: CONFERENCE TIMES: CONTACT INFORMATION: Emmanuel Usen TBA Emmanuel.usen@hccs.edu 713-718-8062
More informationMath 1B Syllabus. Course Description. Text. Course Assignments. Exams. Course Grade
Course Description Math 1B Syllabus This Pre-Calculus course is designed to prepare students for a Calculus course. This course is taught so that students will acquire a solid foundation in algebra and
More informationEXPECTED LEARNING OUTCOMES:
PCCUA 1 Course Name: COLLEGE ALGEBRA Course Number: MS 123 ACTS Course: MATH 1103 (transferable) Semester and Year: Fall 2015 Meeting Place: C103 Meeting Time: Tues/Thurs 11:00a-12:20p Prerequisites: 19+
More informationMath 2413. Calculus I with Analytical Geometry Online Mathematics Department
Math 2413. Calculus I with Analytical Geometry Online Mathematics Department Rita Marie O Brien WCB 108/(903) 875 7510 ritamarie.obrien@navarrocollege.edu Summer 2009 1) Catalog Description of the Course:
More informationPRE-CALCULUS with TRIGONOMETRY MTH 166 Online
PRE-CALCULUS with TRIGONOMETRY MTH 166 Online INSTRUCTOR INFORMATION Name: Dr. Pablo Chalmeta Phone: 540-674-3600, ext. 4266 (or 4115) Email: pchalmeta@nr.edu Office: Godbey Hall, Room 48 (or Mall 115A)
More informationBackground Knowledge
Background Knowledge Precalculus GEOMETRY Successful completion of the course with a grade of B or higher Solid understanding of: Right Triangles Congruence Theorems Basic Trigonometry Basic understanding
More informationMAT187 Precalculus Spring 2016 Section 27756
MAT187 Precalculus Spring 2016 Section 27756 12:00-2:05 PM Instructor: Bill Johnson Office Location: CM 441A Phone: (480) 731-6581 (Math/Science Tutor Center) Math Office (leave message) Office Hours:
More informationBasic Math Course Map through algebra and calculus
Basic Math Course Map through algebra and calculus This map shows the most common and recommended transitions between courses. A grade of C or higher is required to move from one course to the next. For
More informationChemistry INDIVIDUAL PROGRAM INFORMATION 2015 2016. 866.Macomb1 (866.622.6621) www.macomb.edu
Chemistry INDIVIDUAL PROGRAM INFORMATION 2015 2016 866.Macomb1 (866.622.6621) www.macomb.edu Chemistry PROGRAM OPTIONS CREDENTIAL TITLE CREDIT HOURS REQUIRED NOTES Associate of Science Chemistry 64 CONTACT
More informationPre-Engineering INDIVIDUAL PROGRAM INFORMATION 2014 2015. 866.Macomb1 (866.622.6621) www.macomb.edu
Pre-Engineering INDIVIDUAL PROGRAM INFORMATION 2014 2015 866.Macomb1 (866.622.6621) www.macomb.edu Pre Engineering PROGRAM OPTIONS CREDENTIAL TITLE CREDIT HOURS REQUIRED NOTES Associate of Science Pre
More informationCabrillo College Catalog 2015-2016
MATHEMATICS Natural and Applied Sciences Division Wanda Garner, Division Dean Division Office, Room 701 Jennifer Cass, Department Chair, (831) 479-6363 Aptos Counselor: (831) 479-6274 for appointment Watsonville
More informationROCHESTER INSTITUTE OF TECHNOLOGY COURSE OUTLINE FORM COLLEGE OF SCIENCE. School of Mathematical Sciences
! ROCHESTER INSTITUTE OF TECHNOLOGY COURSE OUTLINE FORM COLLEGE OF SCIENCE School of Mathematical Sciences New Revised COURSE: COS-MATH-101 College Algebra 1.0 Course designations and approvals: Required
More informationOnline Algebra 2 Syllabus Fairfax County Public Schools-Online Campus
Part 1: Course Information Course Description Algebra 2 provides a thorough treatment of algebraic concepts through the study of functions, polynomials, rational expressions, complex numbers, exponential
More informationDepartment of Mathematics
Department of Mathematics COURSE SYLLABUS MATH 41: Pre-calculus Online, Fall 015,CRN 7670 INSTRUCTOR: CONTACT INFORMATION: Kallarackal 713 718 5578 Eunice.kallarackal@hccs.edu Kallarackal5441 Mymathlab
More informationWhat is the Purpose of College Algebra? Sheldon P. Gordon Farmingdale State College of New York
What is the Purpose of College Algebra? Sheldon P. Gordon Farmingdale State College of New York Each year, over 1,000,000 students [8] take College Algebra and related courses. Most of these courses were
More informationMATH 2412 PRECALCULUS SPRING 2015 Synonym 26044, Section 011 MW 12:00-1:45, EVC 8106
MATH 2412 PRECALCULUS SPRING 2015 Synonym 26044, Section 011 MW 12:00-1:45, EVC 8106 INSTRUCTOR: Carolynn Campbell Reed EMAIL: creed@austincc.edu WEBSITE: http://www.austincc.edu/creed PHONE/OFFICE: 223-5825
More informationSequence of Mathematics Courses
Sequence of ematics Courses Where do I begin? Associates Degree and Non-transferable Courses (For math course below pre-algebra, see the Learning Skills section of the catalog) MATH M09 PRE-ALGEBRA 3 UNITS
More informationConcurrent Credit Program
PROGRAM GUIDE Concurrent Credit Program Arkansas State University Arkansas State University Concurrent Credit Program 870-680-8365 gyates@astate.edu 1 CONTENTS A-STATE CONCURRENT PROGRAM CONCURRENT COURSES
More informationSOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS
SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 0312: Intermediate Algebra INSTRUCTOR: E-MAIL: Location: Mohammad Abbasi mohammad.abbasi@hccs.edu H. C. C. West Loop Campus MATH 0312: Intermediate
More informationCredit Number Lecture Lab / Shop Clinic / Co-op Hours. MAC 224 Advanced CNC Milling 1 3 0 2. MAC 229 CNC Programming 2 0 0 2
MAC 224 Advanced CNC Milling 1 3 0 2 This course covers advanced methods in setup and operation of CNC machining centers. Emphasis is placed on programming and production of complex parts. Upon completion,
More informationCollege Algebra A story of redesigning a course to improve conceptual understanding
College Algebra A story of redesigning a course to improve conceptual understanding Scott Peterson Oregon State University speter@math.oregonstate.edu History and challenges in College Algebra Types of
More informationCOURSE SYLLABUS. Office Hours: MWF 08:30am-09:55am or by appointment, DAV 238
USF, St. Petersburg MAC 1105 College Algebra (ref #20214 ) COURSE SYLLABUS Term: Spring 2011 Section: 602 Department: MTH College: AP Credit hours: 3 Instructor: Olena Maymeskul Email: olenam@mail.usf.edu
More informationMath 161A-01: College Algebra and Trigonometry I Meeting Days: MW 9:31am 11:30am Room : D9
Math 161A-01: College Algebra and Trigonometry I Meeting Days: MW 9:31am 11:30am Room : D9 INSTRUCTOR INFORMATION: Name: Steve S. Lam, Associate Professor Contact No: 735-5600 Office Hrs.: MW 8:30am 9:30am
More informationRETHINKING BUSINESS CALCULUS IN THE ERA OF SPREADSHETS. Mike May, S.J. Saint Louis University
RETHINKING BUSINESS CALCULUS IN THE ERA OF SPREADSHETS Mike May, S.J. Saint Louis University Abstract: The author is writing an electronic book to support the teaching of calculus to business students
More informationMath 19A (Online) Calculus for Science Engineering and Mathematics University of California Santa Cruz
Math 19A (Online) Calculus for Science Engineering and Mathematics University of California Santa Cruz Instructors and Course Creators Tony Tromba, PhD, Distinguished Professor, Mathematics Department,
More informationRANGER COLLEGE SYLLABUS
Course: Math 1314, College Algebra Credit Hours: 3 Instructor: Dr. Norman Fletcher Office Location: Science #1 Office Hours: Email: nfletcher@rangercollege.edu Office Phone: 254 647 3234, ext. 7031 RANGER
More informationPre-Calculus AB. Computer Graphics 2014-2015
Pre-Calculus AB Revised: 12/20/2014 Computer Graphics 2014-2015 2011-2012 Instructor Information Name:Mr. James M. Ott Office Location:Room 1169, across from the Chemistry classroom Office Hours:Periods
More informationMATH 1314 College Algebra Departmental Syllabus
MATH 1314 College Algebra Departmental Syllabus Fall 2010 Catalog Description MATH 1314. College Algebra (3-3-0) This course is a study of solutions to equations and inequalities, algebraic functions and
More informationCourse Syllabus MATH 101 - College Algebra 3 credits
Course Syllabus MATH 101 - College Algebra 3 credits Prerequisites: High school algebra is recommended but not required Instructor: Steve Michalik, MS Facilitator: H. Elaine Frey, MA Contact Info: Faculty
More informationMaster of Arts in Mathematics Education for Grade 5 12 Teachers
Master of Arts in Mathematics Education for Grade 5 12 Teachers The Master of Arts in Mathematics Education (5 12) is a competencybased degree program that prepares already licensed teachers both to be
More informationTITLE: Elementary Algebra and Geometry OFFICE LOCATION: M-106 COURSE REFERENCE NUMBER: see Website PHONE NUMBER: (619) 388-3252
SDCCD ONLINE COURSE: MATH 95 PROFESSOR: David Kater TITLE: Elementary Algebra and Geometry OFFICE LOCATION: M-106 COURSE REFERENCE NUMBER: see Website PHONE NUMBER: (619) 388-3252 OFFICE HOURS: Online.
More informationProposal for Undergraduate Certificate in Large Data Analysis
Proposal for Undergraduate Certificate in Large Data Analysis To: Helena Dettmer, Associate Dean for Undergraduate Programs and Curriculum From: Suely Oliveira (Computer Science), Kate Cowles (Statistics),
More informationMathematics Spring Branch Campus
Communication Instructor: Bon Crowder Email: bon@mathfour.com Twitter: @mathfour (http://twitter.com/mathfour) Text or voice: 713-557-8048 Backchannel and outside of class discussions will be via Tweetchat
More informationMATHEMATICS MATHEMATICS
MATHEMATICS MATHEMATICS 1 443 This course stresses the development of arithmetic skills and emphasizes concepts as well as computation. Proficiency is developed with each of the fundamental operations.
More informationMATHEMATICS COURSES Grades 8-12 2015-2016
MATHEMATICS COURSES Grades 8-12 2015-2016 Calculus III H Calculus II H A.P. Calculus BC A.P. Statistics A.P. Calculus AB A.P. Calculus BC Algebra II H* Pre-Calculus H Calculus/Stats H A.P. Calculus AB
More informationMath 35 Section 43376 Spring 2014. Class meetings: 6 Saturdays 9:00AM-11:30AM (on the following dates: 2/22, 3/8, 3/29, 5/3, 5/24, 6/7)
Math 35 Section 43376 Spring 2014 Class meetings: 6 Saturdays 9:00AM-11:30AM (on the following dates: 2/22, 3/8, 3/29, 5/3, 5/24, 6/7) Instructor: Kathy Nabours Office: MTSC 133 Email: kathy.nabours@rcc.edu
More informationAdministrative - Master Syllabus COVER SHEET
Administrative - Master Syllabus COVER SHEET Purpose: It is the intention of this to provide a general description of the course, outline the required elements of the course and to lay the foundation for
More informationThe Partnership for the Assessment of College and Careers (PARCC) Acceptance Policy Adopted by the Illinois Council of Community College Presidents
The Partnership for the Assessment of College and Careers (PARCC) Acceptance Policy Adopted by the Illinois Council of Community College Presidents This policy was developed with the support and endorsement
More informationMAT 151 College Algebra and MAT 182 Trigonometry Course Syllabus Spring 2014
PLEASE READ THIS SYLLABUS CAREFULLY. IT IS THE POLICIES BY WHICH YOU MUST ABIDE FOR THIS CLASS. Instructor Information MAT 151 College Algebra and MAT 182 Trigonometry Course Syllabus Spring 2014 Instructor
More informationMATH 2 Course Syllabus Spring Semester 2007 Instructor: Brian Rodas
MATH 2 Course Syllabus Spring Semester 2007 Instructor: Brian Rodas Class Room and Time: MC83 MTWTh 2:15pm-3:20pm Office Room: MC38 Office Phone: (310)434-8673 E-mail: rodas brian@smc.edu Office Hours:
More informationCollege Algebra Math 1050 Fall 2012 12:30-1:20 M-R BLT123
College Algebra Math 1050 Fall 2012 12:30-1:20 M-R BLT123 CONTACT INFORMATION Instructor: Dr. Shane Brewer Office Phone: (435)678-8185 E-mail: shane.brewer@usu.edu Office: BLT 110, San Juan Campus Office
More information67 204 Mathematics for Business Analysis I Fall 2007
67 204 Mathematics for Business Analysis I Fall 2007 Instructor Asõkā Rāmanāyake Office: Swart 223 Office Hours: Monday 12:40 1:40 Wednesday 8:00 9:00 Thursday 9:10 11:20 If you cannot make my office hours,
More informationPolynomial Operations and Factoring
Algebra 1, Quarter 4, Unit 4.1 Polynomial Operations and Factoring Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned Identify terms, coefficients, and degree of polynomials.
More informationHow To Pass Onliner College Algebra 1314 Online Online Online Online Online
RANGER COLLEGE Math 1314 College Algebra - ONLINE ONLINE Instructor: Kimberly Calton Office Location: Early Campus Office Hours: Otherwise by appointment only Cell Phone: 512-914-8883 E-Mail: kcalton@rangercollege.edu
More informationCourse #1506/ Course Syllabus Beginning College Algebra
501 West College Drive Brainerd, MN 5640 Headings Red = CLC syllabus Blue = High School Info. Black = additional info. Pierz Healy High School 112 Kamnic Street Pierz, MN 56364 Course #1506/ Course Syllabus
More informationMATHEMATICS Graduation Requirement Guidance
MATHEMATICS Graduation Requirement Guidance Table of Contents Executive Summary 3 Page Section 1: Georgia HS Graduation Requirements 5 Section 2: Mathematics Course Sequence Information 7 Section 3: High
More informationCASPER COLLEGE COURSE SYLLABUS
CASPER COLLEGE COURSE SYLLABUS COURSE NUMBER & TITLE: MATH 1400-N1 Pre-Calculus Algebra SEMESTER: Fall 2015 LECTURE HOURS: 0 CREDIT HOURS: 4 CLASS TIME: Internet Course DAYS: MTWTHF ROOM: ----- INSTRUCTOR
More informationMAT 096, ELEMENTARY ALGEBRA 6 PERIODS, 5 LECTURES, 1 LAB, 0 CREDITS
1 LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK MATHEMATICS, ENGINEERING and COMPUTER SCIENCE DEPARTMENT FALL 2015 MAT 096, ELEMENTARY ALGEBRA 6 PERIODS, 5 LECTURES, 1 LAB, 0 CREDITS Catalog
More informationCedar Valley College MATH 2412 Precalculus
. Cedar Valley College MATH 2412 Precalculus GENERAL INFORMATION Division Quality Enhancement Plan Math, Science, & Allied Health Cedar Valley College's Quality Enhancement Plan is designed to improve
More informationhttp://www.aleks.com Access Code: RVAE4-EGKVN Financial Aid Code: 6A9DB-DEE3B-74F51-57304
MATH 1340.04 College Algebra Location: MAGC 2.202 Meeting day(s): TR 7:45a 9:00a, Instructor Information Name: Virgil Pierce Email: piercevu@utpa.edu Phone: 665.3535 Teaching Assistant Name: Indalecio
More informationACT Mathematics sub-score of 22 or greater or COMPASS Algebra score of 50 or greater or MATH 1005 or DSPM 0850
MATH 1710 College Algebra Course Syllabus Spring 2014 Course Information Course Description: Learning Outcomes: Prerequisites: Course Topics: This course emphasizes analysis of functions and graphs, complex
More information